Although anyons do not exist (or at least they were not found) as elementary particles,
they have been experimentally realized as emergent quasiparticle excitations in condensed matter systems.
The most notable phenomenon in which anyons appear as emergent quasiparticles is the
Fractional Quantum Hall Effect (FQHE) [1]}, [2]}, [3]}, [4]}.
Anyons are found, as well, in Kitaev spin systems [5]}, [6]}, [7]}, [8]} and
Majorana zero modes [9]}, [10]}.
Both the FQHE and the Kitaev model, together with other approaches including synthetic gauge potentials,
have been proposed as routes for experimental realizations of anyons in ultracold atomic
gases [11]}, [12]}, [13]}, [14]}, [15]}.
Alternative schemes have been proposed to achieve FQH states of light [16]}, [17]}.
Anyonic statistics has been simulated in photonic quantum simulators [18]}, [19]}, superconducting quantum circuits [20]}, and with the use of nuclear magnetic resonance [21]}. Novel ideas have also been put forward [22]} according to which anyons could be experimentally realized on a non-trivial 2D surface (a sphere), using molecular impurities.
